1) To get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side
2) The equations are not equivalent. They do not have the same solution
<h3>Equations</h3>
From the question, we are to determine how we can get equation B from equation A
From the given information,
A. 5x - 2 + x = x - 4
B. 5x + x = x - 4
From above, we can observe that to get equation B from equation A, we will add 2 to the left hand side of equation A
That is
5x - 2 + 2 + x = x + 4 → 5x + x = x + 4
Hence, to get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side
2) The equations are not equivalent. They do not have the same solution
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Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
Answer:
The answer is 51,200 in².
Step-by-step explanation:
(4x40)x(8x40)=51,200